Calculus

Important Derivatives Quiz 1

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This is the Multiple Choice Questions Test in Differential Calculus (Limits and Derivatives) a topic in Business Mathematics. Let us start with Derivatives Quiz.

MCQs about Derivatives for the preparation of Business Mathematics and Exams related to ICMAP, CA, Commerce, and Business Studies.

1. The gradient of the curve $4x^3-7x^2+15$ at $x=0$ is

 
 
 
 

2. The derivative of $x^{-\frac{1}{2}}$ is

 
 
 
 

3. If $y=(\sqrt[n]{x})^0$ then $\frac{dy}{dx}=$?

 
 
 
 

4. If $y=e^{2x}(e^x+e^{-x})$ then $\frac{dy}{dx}=$?

 
 
 
 

5. $\frac{d}{dx}\, e^{2x}=$?

 
 
 
 

6. If $f(x) = \ln(a+b)$ then $f'(x)=$?

 
 
 
 

7. If $f(x)=\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)^2$ then $f'(x)=$?

 
 
 
 

8. If $y=ax^2+bx + c$ then $\frac{dy}{dx}=$?

 
 
 
 

9. $\frac{d}{dx} \, \sqrt{x}=$?

 
 
 
 

10. The derivative of a constant number is always

 
 
 
 

11. Find $\frac{dy}{dx}$ where $y=e^0$?

 
 
 
 

12. If $y=e^{x^2}$ then $\frac{dy}{dx}=$?

 
 
 
 

13. $\frac{d}{dx}\, \ln \left(x+\frac{1}{x}\right)=$?

 
 
 
 

14. Derivative of $x^2$ with respect to $e^x$ is

 
 
 
 

15. If $ y=\frac{x-1}{x+1}$ then $\frac{dy}{dx}=$?

 
 
 
 

16. If $f(x)=(\sqrt{x}+1)(\sqrt{x}-1)$ then $f'(x)=$?

 
 
 
 

17. The gradient of the curve $y=2x^3 – 5x^2 – 3x$ at $x=0$ is

 
 
 
 

18. $\frac{d}{dx} e^{-x}=$?

 
 
 
 

19. If $y=\frac{1-x^2}{1+x^2}$ then $\frac{dy}{dx}=$?

 
 
 
 

20. If $y=f(x)=\ln x$, the its $\frac{dy}{dx}$ will be ___________

 
 
 
 

The questions are designed to help and gain a deep understanding of the concept related to derivatives.

Derivatives Quiz with Answers

  • The derivative of a constant number is always
  • If $y=f(x)=\ln x$, then its $\frac{dy}{dx}$ will be _
  • The gradient of the curve $y=2x^3 – 5x^2 – 3x$ at $x=0$ is
  • Find $\frac{dy}{dx}$ where $y=e^0$?
  • If $f(x) = \ln(a+b)$ then $f'(x)=$?
  • $\frac{d}{dx} \, \sqrt{x}=$?
  • If $y=ax^2+bx + c$ then $\frac{dy}{dx}=$?
  • The derivative of $x^{-\frac{1}{2}}$ is
  • $\frac{d}{dx}\, e^{2x}=$?
  • If $ y=\frac{x-1}{x+1}$ then $\frac{dy}{dx}=$?
  • If $y=\frac{1-x^2}{1+x^2}$ then $\frac{dy}{dx}=$?
  • If $y=e^{2x}(e^x+e^{-x})$ then $\frac{dy}{dx}=$?
  • $\frac{d}{dx} e^{-x}=$?
  • If $y=e^{x^2}$ then $\frac{dy}{dx}=$?
  • If $f(x)=\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)^2$ then $f'(x)=$?
  • $\frac{d}{dx}\, \ln \left(x+\frac{1}{x}\right)=$?
  • Derivative of $x^2$ with respect to $e^x$ is
  • If $f(x)=(\sqrt{x}+1)(\sqrt{x}-1)$ then $f'(x)=$?
  • If $y=(\sqrt[n]{x})^0$ then $\frac{dy}{dx}=$?
  • The gradient of the curve $4x^3-7x^2+15$ at $x=0$ is
MCQs Derivatives Quiz with Answers

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